Suppose that you perform a t-test of the slope coefficient after finding a regre

Question

Suppose that you perform a t-test of the slope coefficient after finding a regression equation. Your explanatory variable is maternal age and the response variable is birth weight. If your analysis leads you to accept the null hypothesis, what can be concluded about the relationship between the explanatory and response variables?

The observed linear association between maternal age and birth weight is significant.

The observed linear association between maternal age and birth weight is most likely NOT significant, but the value and sign of "r," the correlation coefficient must be known before making that determination.

The observed linear association between maternal age and birth weight is most likely significant, but the value and sign of "r," the correlation coefficient must be known before making that determination.

The observed linear association between maternal age and birth weight is NOT significant.

Explanation / Answer

If the null hypothesis is accepted then that indicates that there is no significant correlation between the explanatory and response variable.

Hence,

The observed linear association between maternal age and birth weight is NOT significant.

Option D is correct.

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